Well, yes, you may get puffy eyes because of menopause. According to some experts, menopause often happens to women. And generally speaking, you should pay more attention to your eyes, because when you get menopause, it can let you get some eye diseases, such as dry eyes and puffy eyes. Anyway, you should pay attention to them. When get dry eyes because of menopause, and have not treated it, it is possible to make your eyes to be infected. At that moment, it can lead to puffy eyes because of the infection. By the way, during menopause, the age-related degeneration can occur. And then it can lead to cataracts, macular degeneration and glaucoma. Anyway, just be careful about it. For your situation, you can just go and see a doctor, so that he can help you.